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Finding the Third Proportional to 4,741,677 and 6,775,755.75

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Solution

The third proportional to 4,741,677 and 6,775,755.75 is: 9,682,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741,677 : 6,775,755.75 = 6,775,755.75 : x
  2. Step 2: Convert to fraction form
    4,741,677/6,775,755.75 = 6,775,755.75/x
  3. Step 3: Cross multiply
    4,741,677x = 6,775,755.75 × 6,775,755.75
  4. Step 4: Simplify right side
    4,741,677x = 45,910,865,983,658.06
  5. Step 5: Solve for x
    x = 45,910,865,983,658.06/4,741,677
  6. Step 6: Final answer
    x = 9,682,411.09

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.